1350000345344 has 108 divisors (see below), whose sum is σ = 3147696752508. Its totient is φ = 576169574400.

The previous prime is 1350000345311. The next prime is 1350000345389. The reversal of 1350000345344 is 4435430000531.

It can be written as a sum of positive squares in 2 ways, for example, as 924520710400 + 425479634944 = 961520^2 + 652288^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1350000345344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2799824 + ... + 3246384.

It is an arithmetic number, because the mean of its divisors is an integer number (29145340301).

Almost surely, 2^{1350000345344} is an apocalyptic number.

1350000345344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350000345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573848376254).

1350000345344 is an abundant number, since it is smaller than the sum of its proper divisors (1797696407164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1350000345344 is an equidigital number, since it uses as much as digits as its factorization.

1350000345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446832 (or 446811 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 1350000345344 its reverse (4435430000531), we get a palindrome (5785430345875).

The spelling of 1350000345344 in words is "one trillion, three hundred fifty billion, three hundred forty-five thousand, three hundred forty-four".